find the total surface area of the shape

Find The Total Surface Area Of The Shape

Answers

Answer 1

Answer:

510 ft²

Step-by-step explanation:

in the triangle

base (b) = 5 ft

height of the triangle (h1) = 12 ft

height of the prism = 15 ft

Now

Lateral surface area (LSA)

= perimeter of triangular base * height

= ( 13 + 5 + 12) * 15

= 450 ft²

Total surface area

= LSA + 2 * area of triangular base

= 450 + 2 * 1 / 2 * b * h1

= 450 + 5 * 12

= 450 + 60

= 510 ft²

Hope it will help :)❤


Related Questions

if y+z=4 and yz=3 then find y³+z³=?​

Answers

Answer is 28
y+z=4 => y=4-z
yz=3 => (4-z)z=3
=> z^2-4z+3=0
=> z=1 y=3 OR z=3 y=1
=>y^3 + z^3 =3^3+1=28

Find the volume of a figure that has a length of 5 cubic units, a width of 5 cubic units, and a height of 5 cubic units. *

Answers

Answer:

V = 125 cubic units

Step-by-step explanation:

The formula for volume is length x width x height. Now we must solve.

Solve:

5 x 5 x 5 = 125

125 cubic units

Answer:

125 units^3

Step-by-step explanation:

To find the volume of a cube (a figure with all the same side lengths) you multiply any length by itself 2 times or cube it

5^3 = 5*5*5 = 125 units^3

Adam is going to invest $23,000 and leave it in an account for 19 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Adam to end up with $51,000?

Answers

Answer:4.2

Step-by-step explanation:

4.19122

Answer:4.2

Step-by-step explanation:

A circular plate has a radius of 12 inches. Complete the table. Include a number and a unit in the last column. ​

Answers

Answer:

Area                        A = πr²                452.16 in²

Circumference       C = π2r                  75.36 in

Angus Cut His Neighbors' Lawns For The Summer. By The End, He Had $325 In His Lawn-cutting Bank Account And He Paid A Total $75 For Gas. He Earned $10 For Ever Lawn He Mowed. How Many Lawns Did He Buy? A. N = 400 x 10 b n 250 x 10 c. N = 400 / 10 d. N = 250 / 10

Answers

Answer:

C. N = 400 / 10

Step-by-step explanation:

Lawn-cutting Bank Account = $325

Amount paid for gas = $75

Total amount earned = Lawn-cutting Bank Account + Amount paid for gas

= $325 + $75

= $400

Amount earned per every lawn he mowed = $10

How Many Lawns Did He mow?

Let N = number of lawns he mowed

N = Total amount earned / Amount earned per every lawn he mowed

N = 400 / 10

N = 40 lawns

In the year 2000, the population of Virginia was about 7,400,000.
Between the years 2000 and 2004, the population in Virginia grew
at a rate of 5.4%. At this growth rate, the function f(x) = 7,400,000 (1.054)*
gives the population x years after 2000.
9. In what year will the population reach 15,000,000?
10. In what year will the population reach 20,000,000?

Answers

Answer:

Step-by-step explanation: 7,400,000/5.4%=13,703.7

grows by 13,703.7 every 4 years

7+7

Does the expression Y>2x-1 define a function?

Answers

Step-by-step explanation:

This is a polynomial, and every expression like y=p(x) , with p(x) a polynomial, is a function.

How long will it take Eniola to save $5,000 if she started with $500 and found a rate of 6.2%? Round to the nearest whole number.

Answers

Answer:

the time period is 38.28 years

Step-by-step explanation:

The computation of the time period is shown below:

Given that

RATE = 6.2%

PV = $500

PMT = $0

FV = $5,000

The formula is shown below:

= NPER(RATE;PMT;-PV;FV;TYPE)

After applying the above formula, the time period is 38.28 years

Hence, in order to save $5,000 it would take 38.28 years

what is 10 x 40 to the 12 power divided by 3 x 4

Answers

Answer:

33.33333333

Step-by-step explanation:

I DON'T UNDERSTAND HOW THE ANSWER IS 15% PLEASE EXPLAIN

A pair of sunglasses is on sale for $17. Last week, the sunglasses were marked at a regular price of $20. What was the percent of change?

Answers

Answer:

15%

Step-by-step explanation:

17/20 the 17 is the part, and the 20 is the whole

17/20 = x/100

cross multiply

17*100= 1,700 divide by 20

=85

The price reduced to 85% the original price, but to find out how much it changed, you have to subtract the part from the whole meaning

100% - 85% = 15%

how do you solve this??

Answers

Answer:

The sum of this entire line is 180, so to solve this we would subtract 20 from 180, which means x = 160.

(っ◔◡◔)っ ♥ Hope It Helps ♥

The sum in the line is 180

If you know that angles a and b are
vertical, what equation could you
use to represent this angle
relationship?

Answers

Answer:

Step-by-step explanation:

∡a = ∡b

PLEASE HELP!! ILL MARK BRAINLYEST!!

Evaluate 6C2 .

120
15
720
30

Answers

Answer: 15

Step-by-step explanation:

no

Answer:

15

Step-by-step explanation:

ITS RIGHT

Need help ASAP please not links please

Answers

Answer:

a) 22:24 simplified the answer is 11:12

b) 21:81 simplified the answer is 7:27

Step-by-step explanation:

not sure how you were taught but those could also be

a)  [tex]\frac{22}{24}[/tex] or simplified the answer is [tex]\frac{11}{12}[/tex]

b) [tex]\frac{21}{81}[/tex] or simplified the answer is  [tex]\frac{7}{27}[/tex]


List three values for x that would make 5x < -20 true.

Answers

Answer:

1. -5

2. -6

3. -10

Step-by-step explanation:

There are x = - 6, -7,  and - 8 three values for variable x that would make 5x < -20 true.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We have been given that the inequality is below as

⇒ 5x < -20   ...(i)

⇒ 5x / 5 < -20 / 5

⇒ x < - 4

Thus, all the negative values which are less than -4 for x would make it true.

For example, we take x = -8

Substitute the value of x = -8 in the inequality (i),

⇒ 5(-8) < -20

⇒ - 40 < -20

This is true.

Similarly x = - 6, and - 7 also for x would make it true.

Hence, there are x = - 6, -7,  and - 8 three values for variable x that would make 5x < -20 true.

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

Calculate the area of this trapezium.
6 cm
5 cm
4 cm
8 cm​

Answers

Answer:

6cm is the correct answer

Use the information to answer the following question.

The quadratic function f is represented by the equation f(x) = x2 - 2x + 2.



The table gives some of the values of the exponential function g.



x

-1

0

1

2

3

g(x)

-0.5

0

1

3

7



Which of the following statements is FALSE?

A.
f(3) > g(3)

B.
Both functions have a domain of all real numbers.

C.
The y-intercept of f(x) is greater than the y-intercept of g(x).

D.
The functions f(x) and g(x) have the same value at x = 1.

Answers

Answer:

Step-by-step explanation:

Those are the reasons when I put BD perpendicular to AC

Answers

Step-by-step explanation:

Actually, ∠BDA+∠BDC=180°

2∠BDA= 180°(CPCTC)

∠BDA= 90°

This is how BD is perpendicular to AC

Which two quadrilaterals are reflections of each other across the y-axis? i forgot to add the picture to the last one .

Answers

Answer

F and G

Step-by-step explanation:

Answer:

F and G

Step-by-step explanation:

2. The number of atoms of a particular chemical element is modelled by
the following function: y=600 x 3-* where x is the number of hours.
a) How many atoms of the element were there at the start?
b) Draw a graph for 0 c) At what time were there 150 atoms?

Answers

9514 1404 393

Answer:

  a) 600

  b) see below

  c) 1.26 hours

Step-by-step explanation:

a) The value of y when x=0 is the coefficient of the exponential term:

  y = 600·3^(-0) = 600·1 = 600

There were 600 atoms to start.

__

b) see attached for a graph

__

c) The graph shows 150 atoms at t = 1.26, about 1.26 hours after the start of time counting.

If you want to find that value algebraically, substitute for y and solve for x. Logarithms are involved.

  150 = 600·3^(-x)

  150/600 = 3^(-x)

  log(1/4) = -x·log(3)

  x = -log(1/4)/log(3) = log(4)/log(3) ≈ 1.2618595

After about 1.26 hours, there were 150 atoms.

2(2.2h+5.8h)+15(15h+5)

Answers

Answer:

,,,,,,,,,,,,,,,,,,,,,,,,,

Max and Jay Are running a lemonade stand they spent $12 on all the material and charge $1.50 for each cup of lemonade write an equation that will allow you to calculate the profit (P) if you are told the number of cups (c) that are sold.

Answers

Answer:

P = $1.50c - $12

Step-by-step explanation:

profit = total revenue - total cost

total revenue = price per cup x total cup sold = $1.5 x c = 1.5c

Cost = $12

Find the volume of each solid figure. (the yellow and blue figures)

Answers

The first is 53 , and second is.... 105 I think

Suppose that your mom gives you $20 to go to the school supplies store.
There is a 6% sales tax on supplies. You need to buy the following items

Answers

MARK BRAINLIEST SO I CAN LEVEL UP
so first you want to add up all the school supplies like normal and then times it by 0.06 and then add it to the original number and the answer is $13.90

PLEASE HELP ASAP
Find the surface area and the volume of the cone:

*Hint: Remember that 10 is the slant height, not the cone height. Use Pythagorean Theorem to find
height.

Answers

Answer:

surface area= 301.6

volume=301.6 again Imao I'm not sure how right that is

The area of a rectangle is 221 in?. If its width is 13 in, then find its length.

Answers

I believe it’s 17 inches:)

what is 5+5
=10 for me

Answers

Answer:

that will be 10?

Step-by-step explanation:

Answer:

5+5=10 is right

Step-by-step explanation:

please mark me brainliest

What answer would this be?

Answers

The second one 14-0.5d

Vinay bought a pizza and cut it into three pieces. When
he weighed the first piece he found that it was 7g lighter
than the second piece and 4g.heavier than the third piece.
If the whole pizza weighed 300g. How much did each of
the three pieces weigh?
(Hint: weight of first piece be 'x' then weight of second
piece is 'x + 7', weight of the third piece is 'x - 4')​

Answers

Answer:

x + x + 7 + x -4 = 300

3x = 297

x = 99 First Piece

x2 = 106 Second Piece

x3 = 95 Third piece

Step-by-step explanation:

find the length of the missing side in the following examples

Answers

Answer: 1. 6.1

2. 13

3. 5.4

4. 5.7

5. 10.4

6. 31

Step-by-step explanation:

I got the values of the missing sides by doing the Pythagorean theoreom. Therefore, I had to find the length of the hypotenuse. a^2+b^2=c^2

a and b are the values of the sides given, and we have to find the value of c. So, for instance on number one 6 and 3 are a b. (6)^2+(3)^2= 45. Now we have to find the square root of 45. The square root of 45 is 6.7082039325.

So the value of the missing side in number one is 6.7.

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